Constructing boolean functions by modifying maiorana-mcfarland's superclass functions
文献类型：期刊论文
| 作者 | Zeng, XY; Hu, L |
| 刊名 | Ieice transactions on fundamentals of electronics communications and computer sciences
 |
| 出版日期 | 2005 |
| 卷号 | E88a期号:1页码:59-66 |
| 关键词 | Boolean function Nonlinearity Algebraic degree Balancedness Walsh spectrum |
| ISSN号 | 0916-8508 |
| 通讯作者 | Zeng, xy(xzeng@hubu.edu.cn) |
| 英文摘要 | In this study, we construct balanced boolean functions with a high nonlinearity and an optimum algebraic degree for both odd and even dimensions. our approach is based on modifying functions from the maiorana-mcfarland's superclass, which has been introduced by carlet. a drawback of maiorana-mcfarland's function is that their restrictions obtained by fixing some variables in their input are affine. affine functions are cryptographically weak functions, so there is a risk that this property will be exploited in attacks. due to the contribution of carlet, our constructions do not have the potential weakness that is shared by the maiorana-mcfarland construction or its modifications. |
| WOS关键词 | PLATEAUED FUNCTIONS |
| WOS研究方向 | Computer Science ; Engineering |
| WOS类目 | Computer Science, Hardware & Architecture ; Computer Science, Information Systems ; Engineering, Electrical & Electronic |
| 语种 | 英语 |
| WOS记录号 | WOS:000226443500009 |
| 出版者 | IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2377290 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Zeng, XY |
| 作者单位 | 1.Hubei Univ, Fac Math & Comp Sci, Wuhan 430062, Peoples R China 2.Chinese Acad Sci, Grad Sch, State Key Lab Informat Secur, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zeng, XY,Hu, L. Constructing boolean functions by modifying maiorana-mcfarland's superclass functions[J]. Ieice transactions on fundamentals of electronics communications and computer sciences,2005,E88a(1):59-66. |
| APA | Zeng, XY,&Hu, L.(2005).Constructing boolean functions by modifying maiorana-mcfarland's superclass functions.Ieice transactions on fundamentals of electronics communications and computer sciences,E88a(1),59-66. |
| MLA | Zeng, XY,et al."Constructing boolean functions by modifying maiorana-mcfarland's superclass functions".Ieice transactions on fundamentals of electronics communications and computer sciences E88a.1(2005):59-66. |
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来源：中国科学院大学
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